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144331330012332 = 223142758217144779
BaseRepresentation
bin100000110100010011000001…
…101001111100010010101100
3200221000221101112210210120120
4200310103001221330102230
5122404211030440343312
61230544521521044540
742254410622653431
oct4064230151742254
9627027345723516
10144331330012332
1141a9663409a091
1214230466486750
13626c503115568
14278d9606abb88
1511a45c83ec28c
hex8344c1a7c4ac

144331330012332 has 48 divisors (see below), whose sum is σ = 337017220767360. Its totient is φ = 48075571057792.

The previous prime is 144331330012279. The next prime is 144331330012333. The reversal of 144331330012332 is 233210033133441.

It is a happy number.

144331330012332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144331330012293 and 144331330012302.

It is not an unprimeable number, because it can be changed into a prime (144331330012333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996835519 + ... + 996980297.

It is an arithmetic number, because the mean of its divisors is an integer number (7021192099320).

Almost surely, 2144331330012332 is an apocalyptic number.

144331330012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144331330012332 is an abundant number, since it is smaller than the sum of its proper divisors (192685890755028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144331330012332 is a wasteful number, since it uses less digits than its factorization.

144331330012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204430 (or 204428 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 144331330012332 its reverse (233210033133441), we get a palindrome (377541363145773).

The spelling of 144331330012332 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred thirty million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1427 2854 4281 5708 8562 17124 58217 116434 144779 174651 232868 289558 349302 434337 579116 698604 868674 1737348 83075659 166151318 206599633 249226977 332302636 413199266 498453954 619798899 826398532 996907908 1239597798 2479195596 8428599043 16857198086 25285797129 33714396172 50571594258 101143188516 12027610834361 24055221668722 36082832503083 48110443337444 72165665006166 144331330012332